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32131001123220 = 22359713214179251
BaseRepresentation
bin1110100111001000101001…
…11010001000000110010100
311012202200201201021011221210
413103210110322020012110
513202413242241420340
6152200440024541420
76524250106151226
oct723442472100624
9135680651234853
1032131001123220
11a26875453172a
12372b253321870
1314c0c2c0b963c
147d1212266416
153aac0396e180
hex1d3914e88194

32131001123220 has 96 divisors (see below), whose sum is σ = 90963124914816. Its totient is φ = 8473512960000.

The previous prime is 32131001123219. The next prime is 32131001123227. The reversal of 32131001123220 is 2232110013123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131001123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598595 + ... + 9777845.

It is an arithmetic number, because the mean of its divisors is an integer number (947532551196).

Almost surely, 232131001123220 is an apocalyptic number.

32131001123220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131001123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45481562457408).

32131001123220 is an abundant number, since it is smaller than the sum of its proper divisors (58832123791596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32131001123220 is a wasteful number, since it uses less digits than its factorization.

32131001123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180681 (or 4180679 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32131001123220 its reverse (2232110013123), we get a palindrome (34363111136343).

The spelling of 32131001123220 in words is "thirty-two trillion, one hundred thirty-one billion, one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1321 1455 1940 2642 2910 3963 5284 5820 6605 7926 13210 15852 19815 26420 39630 79260 128137 256274 384411 512548 640685 768822 1281370 1537644 1922055 2562740 3844110 4179251 7688220 8358502 12537753 16717004 20896255 25075506 41792510 50151012 62688765 83585020 125377530 250755060 405387347 810774694 1216162041 1621549388 2026936735 2432324082 4053873470 4864648164 5520790571 6080810205 8107746940 11041581142 12161620410 16562371713 22083162284 24323240820 27603952855 33124743426 55207905710 66249486852 82811858565 110415811420 165623717130 331247434260 535516685387 1071033370774 1606550056161 2142066741548 2677583426935 3213100112322 5355166853870 6426200224644 8032750280805 10710333707740 16065500561610 32131001123220